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Finding the Fourth Proportional to 991.18, 1,369.53 and 956.14

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Solution

The fourth proportional to 991.18, 1,369.53 and 956.14 is: 1,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.18 : 1,369.53 = 956.14 : x
  2. Step 2: Convert to fraction form
    991.18/1,369.53 = 956.14/x
  3. Step 3: Cross multiply
    991.18x = 1,369.53 × 956.14
  4. Step 4: Simplify right side
    991.18x = 1,309,462.41
  5. Step 5: Solve for x
    x = 1,309,462.41/991.18
  6. Step 6: Final answer
    x = 1,321.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.